EXPLOSIVE DIGIT DYNAMICS, HYPERGROWTH CASCADES AND INFINITE ATTRACTOR BASINS: ARCHITECTURE OF A NEW INTEGER UNIVERSE. (FINAL UPDATED PAPER)

This paper introduces a novel integer transformation exhibiting explosive digit dynamics, hypergrowth cascades, and infinite attractor basins. The transformation squares each digit of an integer, concatenates the results, and repeatedly compresses consecutive triplets of digits when divisible by three. The system produces combinatorial shockwaves: sequences balloon to thousands of digits before collapsing into rigid attractor states, including 10, 11, 1010, 1110, 1011, and hyper forms such as 1111111111. Across extensive computational testing with palindromes, repdigits, high-entropy seeds, and extreme examples, all sequences converge deterministically. This work formalizes the transformation, documents empirical invariants, and presents a new class of digit-dynamical attractor systems with potential applications in cryptography, pseudo-random generation, pattern recognition, and discrete dynamical system modeling.